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Finding the Fourth Proportional to 38,200.46, 57,312.43 and 18,235.43

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Solution

The fourth proportional to 38,200.46, 57,312.43 and 18,235.43 is: 27,358.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.46 : 57,312.43 = 18,235.43 : x
  2. Step 2: Convert to fraction form
    38,200.46/57,312.43 = 18,235.43/x
  3. Step 3: Cross multiply
    38,200.46x = 57,312.43 × 18,235.43
  4. Step 4: Simplify right side
    38,200.46x = 1,045,116,714.22
  5. Step 5: Solve for x
    x = 1,045,116,714.22/38,200.46
  6. Step 6: Final answer
    x = 27,358.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.